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# MA414 PRE-CALCULUS

**Course:** MA414 Pre-Calculus

**Grade: **10, 11, 12

**Subject Area:** Mathematics

**Type:** Standard

**Credits:** 1

**Course Information:**

This is a year long course that requires selection of both semesters: S1 and S2. This course will explore functions and their behavior and to prepare students for advanced study in mathematics. This course will explore Linear, Polynomial, Rational, Exponential, Logarithmic and Trigonometric Functions. The graphs of these functions will be studied and graphing calculators will be used to further develop an understanding of these functions and graphs. Systems of equations and inequalities will also be studied. A TI-83 or TI-84 graphing calculator is required for this course.

**Outcomes:**

Graph piecewise functions, rational functions, linear and polynomial inequalities

Solve systems of equations by using the graphing calculator

Use linear programming procedures to solve real-world applications

Determine the continuity, end behavior, critical points and extrema of relations using the graphing calculator.

Locate zeros of polynomial functions

Use the unit circle to determine the value of trigonometric functions

Find side or angle measure by using the law of sines and the law of cosines

Graph and identify important characteristics of trigonometric function

Verify trigonometric identities including sum, difference, double-angle, and half-angle identities

Solve trigonometric equations

Solve exponential and logarithmic equations

Describe characteristics of the arithmetic, geometric, and infinite series

Determine whether series are convergent or divergent

Count sample spaces by using permutations and combinations

Use matrices to solve systems of equations

Compute probabilities including compound events and conditional probabilities

**Prerequisites:**

Minimum grade of C- in Algebra 2

**Corequisites:**

If you take this course, you must also take MA414-S2 – Pre-Calculus S2

**Notes:**

A TI-83 or TI-84 graphing calculator or comparable is required for this course.